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46006045632 = 263479112337
BaseRepresentation
bin101010110110001011…
…001000101111000000
311101202020111021020000
4222312023020233000
51223210021430012
633045045120000
73216033635631
oct526613105700
9141666437200
1046006045632
1118569239018
128abb3b9000
134452487011
142326111888
1512e3e15ddc
hexab62c8bc0

46006045632 has 140 divisors (see below), whose sum is σ = 138103843680. Its totient is φ = 15141095424.

The previous prime is 46006045627. The next prime is 46006045633. The reversal of 46006045632 is 23654060064.

46006045632 is a `hidden beast` number, since 4 + 600 + 6 + 0 + 45 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46006045633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 353368 + ... + 465704.

Almost surely, 246006045632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46006045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69051921840).

46006045632 is an abundant number, since it is smaller than the sum of its proper divisors (92097798048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46006045632 is a wasteful number, since it uses less digits than its factorization.

46006045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112440 (or 112421 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 46006045632 in words is "forty-six billion, six million, forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 288 316 324 432 474 576 632 648 711 864 948 1264 1296 1422 1728 1896 2133 2528 2592 2844 3792 4266 5056 5184 5688 6399 7584 8532 11376 12798 15168 17064 22752 25596 34128 45504 51192 68256 102384 112337 136512 204768 224674 337011 409536 449348 674022 898696 1011033 1348044 1797392 2022066 2696088 3033099 3594784 4044132 5392176 6066198 7189568 8088264 8874623 9099297 10784352 12132396 16176528 17749246 18198594 21568704 24264792 26623869 32353056 35498492 36397188 48529584 53247738 64706112 70996984 72794376 79871607 97059168 106495476 141993968 145588752 159743214 194118336 212990952 239614821 283987936 291177504 319486428 425981904 479229642 567975872 582355008 638972856 718844463 851963808 958459284 1277945712 1437688926 1703927616 1916918568 2555891424 2875377852 3833837136 5111782848 5750755704 7667674272 11501511408 15335348544 23003022816 46006045632